86484448468 has 72 divisors (see below), whose sum is σ = 168564767112. Its totient is φ = 38792160000.

The previous prime is 86484448451. The next prime is 86484448493.

86484448468 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 8432381584 + 78052066884 = 91828^2 + 279378^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15493438 + ... + 15499018.

It is an arithmetic number, because the mean of its divisors is an integer number (2341177321).

Almost surely, 2^86484448468 is an apocalyptic number.

It is an amenable number.

86484448468 is a deficient number, since it is larger than the sum of its proper divisors (82080318644).

86484448468 is a wasteful number, since it uses less digits than its factorization.

86484448468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6025 (or 6012 counting only the distinct ones).

The product of its digits is 150994944, while the sum is 64.

The spelling of 86484448468 in words is "eighty-six billion, four hundred eighty-four million, four hundred forty-eight thousand, four hundred sixty-eight".